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Finding the Fourth Proportional to 1,505.51, 2,077.53 and 842.34

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Solution

The fourth proportional to 1,505.51, 2,077.53 and 842.34 is: 1,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.51 : 2,077.53 = 842.34 : x
  2. Step 2: Convert to fraction form
    1,505.51/2,077.53 = 842.34/x
  3. Step 3: Cross multiply
    1,505.51x = 2,077.53 × 842.34
  4. Step 4: Simplify right side
    1,505.51x = 1,749,986.62
  5. Step 5: Solve for x
    x = 1,749,986.62/1,505.51
  6. Step 6: Final answer
    x = 1,162.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.